Publication: Modification and unification of the Apostol-type numbers and polynomials and their applications
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Date
2014-05-25
Authors
Özden, Hacer
Authors
Şimşek, Yılmaz
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
In this paper, we construct generating functions for modification and unification of the Apostol-type polynomials Y ((nu))(n,beta)(x;k,a,b) of order nu. By using these generating functions, we derive many new identities related to the generalized Stirling type numbers of the second kind, array-type polynomials, Eulerian polynomials and the modification and unification of the Apostol-type polynomials and numbers. We give many applications related to these numbers and polynomials and PDEs.
Description
Keywords
Bernoulli numbers and polynomials, Euler numbers and polynomials, Genocchi Bernoulli numbers and polynomials, Stirling numbers, Catalan numbers, Unified presentation, Euler polynomials, Generating-functions, Bernoulli, Families, Mathematics, Computational methods, Mathematical techniques, Bernoulli numbers, Euler numbers, Eulerian polynomial, Generating functions, Second kinds, Stirling number, Stirling-type, Polynomials
Citation
Özden, H. ve Şimşek, Y. (2014). "Modification and unification of the Apostol-type numbers and polynomials and their applications". Applied Mathematics and Computation, 235, 338-351.